East coast trucking provides service from boston

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Reference no: EM131126807

East Coast Trucking provides service from Boston to Miami using regional offices located in Boston, New York, Philadelphia, Baltimore, Washington, Richmond, Raleigh, Florence, Savannah, Jacksonville, and Tampa. The number of miles between each of the regional offices is provided in the following table:


New York

Philadelphia

Baltimore

Washington

Richmond

Raleigh

Florence

Savannah

Jacksonville

Tampa

Miami

Boston

211

320

424

459

565

713

884

1056

1196

1399

1669

New York


109

213

248

354

502

673

845

985

1188

1458

Philadelphia



104

139

245

393

564

736

876

1079

1349

Baltimore




35

141

289

460

632

772

975

1245

Washington





106

254

425

597

737

940

1210

Richmond






148

319

491

631

834

1104

Raleigh







171

343

483

686

956

Florence








172

312

515

785

Savannah









140

343

613

Jacksonville










203

473

Tampa











270

The company's expansion plans involve constructing service facilities in some of the cities where a regional office is located. Each regional office must be within 400 miles of a service facility. For instance, if a service facility is constructed in Richmond, it can pro- vide service to regional offices located in New York, Philadelphia, Baltimore, Washington, Richmond, Raleigh, and Florence. Management would like to determine the minimum number of service facilities needed and where they should be located.

a. Formulate an integer linear program that can be used to determine the minimum num- ber of service facilities needed and their location.

b. Solve the linear program formulated in part (a). How many service facilities are re- quired, and where should they be located?

c. Suppose that each service facility can only provide service to regional offices within 300 miles. How many service facilities are required, and where should they be located?

Reference no: EM131126807

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